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goldenfox [79]
3 years ago
9

What is the angle of B?​

Mathematics
1 answer:
amid [387]3 years ago
4 0

Answer:

31

Step-by-step explanation:

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12, 17, 11, 13, 17, 15<br> What is the mean of the data? ​
garri49 [273]

Step-by-step explanation:

The mean is the average.  Add up all the points, then divide by the number of points.

(12 + 17 + 11 + 13 + 17 + 15) / 6 = 14⅙

6 0
2 years ago
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How would you solve these 2 maths problems?
sweet-ann [11.9K]

Answer:

see explanation

Step-by-step explanation:

(9)

Expand and simplify right side and compare coefficients of like terms on left side.

(x - 2)(x² + ax + b) + c

= x³ + ax² + bx - 2x² - 2ax - 2b + c

= x³ + x²(a - 2) + x(b - 2a) - 2b + c

compare with

x³ + 2x² - 3x + 4

x² terms

a - 2 = 2 ( add 2 to both sides )

a = 4

x terms

b - 2a = - 3 ← substitute a = 4

b - 8 = - 3 ( add 8 to both sides )

b = 5

constant terms

- 2b + c = 4 ← substitute b = 5

- 10 + c = 4 ( add 10 to both sides )

c = 14

Thus a = 4, b = 5 and c = 14

-------------------------------------------------

(10)

Since both functions cross the x- axis at - 2 then (- 2, 0) satisfies both, that is

f(- 2) = (-2)^{4} + a(- 2)³ + b(- 2)² + 36(- 2) + 144 = 0, that is

- 16 - 8a + 4b - 72 + 144 = 0

- 8a + 4b + 56 = 0

- 8a + 4b = - 56 → (1)

and

g(- 2) = (-2)^{4} + (a + 3)(- 2)³ - 23(- 2)² + (b + 10)(- 2) + 40 = 0, that is

- 16 - 8(a + 3) - 92 - 2(b + 10) + 40 = 0

- 16 - 8a - 24 - 92 - 2b - 20 + 40 = 0

- 8a - 2b - 112 = 0

- 8a - 2b = 112 → (2)

Subtract (1) from (2) term by term

- 6b = 168 ( divide both sides by - 6 )

b = - 28

Substitute b = - 28 into (2)

- 8a + 56 = 112 ( subtract 56 from both sides )

- 8a = 56 ( divide both sides by - 8 )

a = - 7

Thus a = - 7 and b = - 28

5 0
3 years ago
Write a verbal expression for 23f
Darya [45]
Twenty three times a number f
7 0
3 years ago
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HELP PLEASE ASAP<br> what is the mean of 210,160,200 ?
MrRissso [65]
To find the mean, add all the numbers then divide by the amount of numbers there are to find the average.

210+160+200=570

570÷3=190

Answer: 190 



5 0
3 years ago
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What is the volume of a right cylinder with a base diameter of 6 cm and a height of 5 cm?
miskamm [114]
It’s about 141.37. Here’s the equation: V=πr2h=π·32·5≈141.37167
7 0
3 years ago
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